2. It’s time for Ronda to start repaying her student loans, which are amortized over the next 10 years. Her first month’s payment due is $396. How much should she expect to pay next month?
Based on the amount that she paid in the first month, the amount Ronda will pay for the next month is $396.
When a loan is amortized, it means that one can pay it off by paying the same amount every period until they would have paid off both the loan and the associated interest.
The amortized amount contains:
A portion going towards the principal(debt )A portion going towards the interest accumulated.In conclusion, as the amount is the same every time, Ronda will have to pay the same amount of $396 the next month.
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how to find the vertex of a parabola in standard form
Step-by-step explanation:
TO find the vertex, you need to find the x− and y− coordinates.
The formula for the axis of symmetry and the x-coordinate of the vertex is:
x = -b over 2a
To find the y-coordinate the vertex, substitute the value for x into the equation and solve for y
y=a(-b over 2a) squared + b(-b over 2a) + c
Find the volume of the largest right circular cylinder that can be inscribed in a sphere of radius 6
Answer:
c.
took the test
Step-by-step explanation:
The ratio of boys to girls in a group is 2:1. If there are 26 more boys than girls, work out how
many boys are there?
Answer: 52 boys
==================================================
Explanation:
g = number of girls
g+26 = number of boys because there are 26 more compared to girls
The ratio of boys to girls is 2:1, meaning g+26 is twice as large compared to g
number of boys = 2*(number of girls)
g+26 = 2g
26 = 2g-g
26 = g
g = 26
There are 26 girls and g+26 = 26+26 = 52 boys. Note how 52 is double that of 26.
When 8 goes in,5 comes out
When 24 goes in.13comes out
when 70 goes in,__ comes out
What is the missing answer?
When 70 goes in, 36 comes out.
The pattern for this is x/2 + 1.
8/2 = 4, 4+1 = 5
24/2 = 12, 12+1 = 13
70/2 = 35, 35+1 = 36
please help !! find the measure of ∠1 and ∠2. justify your answers
Answer:
angle 1 = 45° because vertical angles
angle 2 = 135° because supplementary angles
Step-by-step explanation:
∠1 = ∠a, ∠a = 45°
∠2 + ∠a (45°) = 180°
180° - 45° = 135°
Answer:
Angle 1= 45 degrees, angel 2= 135
Step-by-step explanation:
you know that line b has a 45 degree angle on a 180 total, so to find angle 1 you just move the 45 as they are the same, to find angle b you substract 45 from 180 getting 135
You make a scale drawing of a garden plot using the scale 2 in. 517 ft. If the length of a row of vegetables on the drawing is 3 in., how long is the actual row?
a. 17 ft b. 25.5 ft c. 34 ft d. 42.5 ft
nico wanted to determine the number of students in his school who buy school lunch. he walked around the cafeteria one lunch period looking to see whether every fifth person in the cafeteria purchased lunch or brought their own. which method did he use to collect his data? survey simulation experiment observational study
Answer:
Observation
Step-by-step explanation:
He walked around seeing if every fifth person bought lunch
Survey - Requires asking questions
Simulation - Needs prior data to make an estimation
Experiment - Testing something
Observation - Just observing and watching
Study - Looking up data
The method he used to collect his data is observational method.
When do we perform observational study, sample survey, controlled experiment, or random experiment?Observational study is usually chosen when the researches the system is likely to produce different result if interfered.
Sample survey is done if the population is too big to analyze or destructible as the analysis occurs.
Controlled experiment is done manually, specifically to deduce conclusions. Its steps are fixed.
Random experiment is done specifically to deduce conclusions, but it is done in a random manner.
We are given that;
He saw every fifth person in cafeteria
Now,
An observational study is a method of collecting data by observing and recording the behavior or characteristics of individuals or groups without interfering or manipulating any variables. Nico did not ask any questions or change any conditions, he just observed whether every fifth person in the cafeteria bought lunch or brought their own.
Therefore, by sampling the answer will be observational method.
Learn more about sampling here:
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the height of mont blanc is 4810 m correct to the nearest 10 meters. what is its least possible height
Subtraction is a mathematical operation that reflects the removal of things from a collection. The least possible height of the mont blanc is 4800 meters.
What is subtraction?Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.
Given the height of mont blanc is 4810 m correct to the nearest 10 meters. Therefore, the least possible height of the mont blanc can be written as,
Least height = 4810m - 10m = 4,800 meters
Hence, the least possible height of the mont blanc is 4800 meters.
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Please help i attached a link below to the graph
Write the linear inequality shown in the graph. The gray area represents the shaded region.
y ≥ –x – 4
y ≥ –x + 4
y ≤ –x – 4
y ≤ –x + 4
Answer: y ≤ -y+4
Step-by-step explanation:
The line in the graph:
Taking two points, we can calculate the slope of the line. I'll pick (0,4) and (4,0)
Rise/Run (slope): Rise (0-4) = -4, Run = (4-0) = 4. Slope is -4/4 or -1.
The y-intercept is 4 (the value of y when x is zero).
The equation for the line is y = -x + 4. The shades area includes all points on and under this line, so y ≤ -y+4.
Can someone help me with this please?
Answer:
Step-by-step explanation:
For f(x) = -5x-2, evaluate f(5)
Answer:
x=5
f(x)= -5x-2
f(5)= -5(5)-2
f(5)= -25-2
f(5) = -27
Answer:
See below:
Step-by-step explanation:
So we know that [tex]f(x)=-5x-2[/tex] therefore to find out what [tex]f(5)[/tex] is we can insert/replace [tex]x[/tex] with 5 due to it being a function, after we do that, we get this:
[tex]f(5)=-5(5)-2[/tex]
Using algebra, we an find out that [tex]f(5)=-27[/tex]
Cheers!
Is the following expression greater than, less than, or equal to zero? (a^2+b^2)/(a^2+b^2+1)
Answer:
the answer is Equal to zero
Step-by-step explanation:
hope it's help correct me if I'm wrong <3
Answer:
≥0
Step-by-step explanation:
This one may seem tricky. The denominator is ALWAYS one more than the numerator. So, let's take a look at some examples.
-2/-1
This is >0. And even if you keep going to a number as high as -10000/-9999, it will ALWAYS be >0.
0/1
Hmm...this one is equal to 0. Seems like we have ≥0 right now.
2/3
>0, right? Well, since we have expression ≥0, that's your answer!
Hope it helps!
Find the perimeter. Simplify your answer.
Answer:
26s +24
Step-by-step explanation:
The perimeter is the total length of all its sides.
Perimeter
= 10s +3 +3s +9 +10s +3 +3s +9
= 10s +3s +10s +3s +3 +9 +3 +9
= 26s + 24
Write the equation of the line passes through the point (10, 2) and is perpendicular to the line: y=-5x+7
Please show work
Answer:
Perpendicular line: y = ⅕x + 0 or y = ⅕x
Step-by-step explanation:
Given the point, (10, 2), and the linear equation, y = -5x + 7:
In order to find the equation of the perpendicular line that passes through (10, 2), we must first determine the definition of perpendicular lines.
Definition:Perpendicular lines have negative reciprocal slopes ⇒ this means that when you take and multiply the slopes of both lines, it results in a product of -1.
In other words, since the slope of the given line, y = -5x + 7 is m₁ = -5, then it means that the slope of the other line must be m₂ = ⅕ because:m₁ × m₂ = -1
-5 × ⅕ = -1
Solution:Now that we have the slope of the other line, m₂ = ⅕, and the given point, (10, 2), substitute these values into the slope-intercept form to solve for the y-intercept, b :
y = mx + b
2 = ⅕(10) + b
2 = 2 + b
Subtract 2 from both sides:
2 -2 = 2 -2 + b
0 = b
Hence, the y-intercept is b = 0.
Equation:The linear equation of the perpendicular line that passes through point (10, 2) is: y = ⅕x + 0 or y = ⅕x
Define the sample space, S, of a fair coin being tossed once.
S=
A. {H, T}
B. {H, H}
C. {T, T}
Answer:
S = { H,T }
Step-by-step explanation:
Sample space is these two outcomes
For f(x) = -5x+10, what us the value of x for which f(x) = 35
Answer:
x= -5
Step-by-step explanation:
f(x)= -5x +10
35= -5x +10
35-10 =-5x
25/-5 =x
x= -5
Please help me this is due tomorrow.
Answer:
C
Step-by-step explanation:
The domain of a function is a set of values that make the function real and defined. No matter what number you substitute as x, the result is always real. Hence, the domain would be from negative infinity to positive infinity.
Answer: I think it’s D
Step-by-step explanation:
Given that 7:3 = m:12 what is the value of m? POSSIBLE ANSWERS a) 8 b) 10 c) 16 d) 28
Answer:
option d
Step-by-step explanation:
7:3 is the same as 28:12 which means that m is 28
Help needed, this is timed :’)
Answer:
Step-by-step explanation:
last answer
∠A and ∠B are complementary. m∠A=29°. find m∠B.
Answer:
55 degrees
Step-by-step explanation:
Add the expressions up and set up an equation.
( 2 x − 29 ) + ( x + 23 ) = 90 Simplify and solve for x.
3 x − 6 = 90 3 x = 96 x = 32 Find angle B.
x + 23 = 32 + 23 = 55
Hope this helps, have a nice day/night! :D
Answer:
m∠B = 61°
Step-by-step explanation:
Complementary means two angles that add up to the sum of 90°.
Since we are given m∠A = 29°, subtract 29° from 90°.
90 - 29 = 61
m∠B = 61°
Which number has a 5 in it that’s 10 times the 5 in 13.725
Answer:
0.05
Step-by-step explanation:
10*.005
Find the value of a.
х
409
0.
a
y
O A. 60
OB. 80
OC. 40
Answer:
50°
Hope you could understand.
If you have any query, feel free to ask.
Determine the value of x.
Answer:
x = 16
Step-by-step explanation:
46° and (3x - 2)° are alternate angles and are congruent , so
3x - 2 = 46 ( add 2 to both sides )
3x = 48 ( divide both sides by 3 )
x = 16
Solve.
34(x−8)=−12
x=− 26/3
x = 10
x=22/3
I believe the answer would be... x= 130/17 for 34(x-8)=-12
I am really sorry, but I am not sure how to answer the rest
Hoped I helped with the first part of it!
Have a great day/night!
Answer:
The answer is 22/3
Step-by-step explanation: I got it right
help me with this please and thank you !!
Answer:
I hope this helps.
Help please I need help please
Answer:
25 and 100 I think
Step-by-step explanation:
because the line is between the 20 and the 30 so it its 25
The Batpod and The Falcon Cycle are traveling down the
highway. That Batpod can travel at a speed of 4 miles
per minute; while the Falcon Cycle can double that at a
speed of 8 miles per minute. If Falcon gives Batman a 6
minute head start. How long will Batman have traveled
before Falcon catches him?
I need help so I can turn in my Packet?!?!?
A ski resort is building two parallel straight ski slopes for children. One of them has a gradient of 1/3. The other ski slope will pass through points (2,-3) and (s,-5). Find the value of s
Answer: s= -8
Step-by-step explanation:
The gradient of the ski slope can ge used as the slope (literally) of a line equation:
y = mx + b,
where m is the slope and b the y-intercept (the value of y when x = 0).
The first slope would be y = -(1/3)x + b.
The slope is (-1/3) since the ski run is headed downhill. The second ski slope is assumed to have the same gradient ("two parallel straight ski slopes").
y' = -(1/3)x' + b
We may assume that b is the same for both slopes - they start and end at the same point.
We can find b by using the given point (2,-3):
y' = -(1/3)x' + b
-3 = -(1/3)(2) + b
-3 = -(2/3) + b [Add -(2/3) to both sides: (-3 + 2/3 = -9/3 + 2/3 = -7/3]
-7/3 = b
b = -(7/3)
The second ski slope, y', thus has the equation
y' = (1/3)x' -(7/3)
We want the value of s in (s, -5).
y' = (1/3)x' -(7/3)
-5 = (1/3)s -(7/3)
(1/3)s = -5 +(7/3) [-15/3 + 7/3 = -8/3]
(1/3)s = -(8/3) [Multiply both dies by 3]
s = -(24/3)
s = -8
roots and solution
(polynomial equation)
x3 + 6x2 - x - 30 = 0
Answer:
hey, can you tell the question again? I've a prob in x, is it a variable or multiplication sign? just lmk this, I think I'm able to do it
Answer:
x=-5;-3;2
Step-by-step explanation:
all the details are in the attached picture (the answers are marked with red colour).
1) to determine the possible roots;
2) to check the possible roots, then to stop when the first one is found (it is 2);
3) to perform division of polynoms, then to re-write the given equation in comfortable form;
4) to calculate other roots.
Note, the suggested solution is not the shortest way and not the only one.
P.S. make the design according local requirements.